6404313600 has 720 divisors, whose sum is σ = 24934029120. Its totient is φ = 1625702400.

The previous prime is 6404313599. The next prime is 6404313613. The reversal of 6404313600 is 63134046.

6404313600 is a `hidden beast` number, since 6 + 4 + 0 + 43 + 13 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 90201565 + ... + 90201635.

It is an arithmetic number, because the mean of its divisors is an integer number (34630596).

Almost surely, 2^6404313600 is an apocalyptic number.

6404313600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6404313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12467014560).

6404313600 is an abundant number, since it is smaller than the sum of its proper divisors (18529715520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6404313600 is an equidigital number, since it uses as much as digits as its factorization.

6404313600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 6404313600 is about 80026.9554587703. The cubic root of 6404313600 is about 1857.0525638828.

Adding to 6404313600 its reverse (63134046), we get a palindrome (6467447646).

The spelling of 6404313600 in words is "six billion, four hundred four million, three hundred thirteen thousand, six hundred".